X-ray Diffraction Structural Investigations of a Bicrystalline System by Section Topography under Conditions of Anomalous Borrmann Absorption

Haroutyunyan, V. S.; Sedrakyan, A.

doi:10.1107/s0108767397000408

Cited by 26 publications

(1 citation statement)

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“…Apart from Kato's theory, published another theoretical description of bicrystal moiré fringes using a matrix formalism of dynamical diffraction (Berreman, 1976). Furthermore, Haroutyunyan & Sedrakyan (1997) also published a paper describing bicrystal moiré interference.…”

Section: Introductionmentioning

confidence: 99%

Theoretical study of the properties of X-ray diffraction moiré fringes. I

Yoshimura

2015

Acta Cryst Sect A

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A detailed and comprehensive theoretical description of X-ray diffraction moiré fringes for a bicrystal specimen is given on the basis of a calculation by planewave dynamical diffraction theory. Firstly, prior to discussing the main subject of the paper, a previous article [Yoshimura (1997). Acta Cryst. A53, 810-812] on the two-dimensionality of diffraction moiré patterns is restated on a thorough calculation of the moiré interference phase. Then, the properties of moiré fringes derived from the above theory are explained for the case of a plane-wave diffraction image, where the significant effect of Pendellö sung intensity oscillation on the moiré pattern when the crystal is strained is described in detail with theoretically simulated moiré images. Although such plane-wave moiré images are not widely observed in a nearly pure form, knowledge of their properties is essential for the understanding of diffraction moiré fringes in general.

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Section: Introductionmentioning

confidence: 99%

Theoretical study of the properties of X-ray diffraction moiré fringes. I

Yoshimura

2015

Acta Cryst Sect A

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Dynamical Theory of X-Ray Diffraction

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2003

394

658

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X-ray diffraction is a major tool for the study of crystal structures and the characterization of crystal perfection. Since the discovery of X-ray diffraction by von Laue, Friedrich, and Knipping in 1912 two basic theories have been used to describe this diffraction. One is the approximate geometrical, or kinematical theory, applicable to small or highly imperfect crystals; it is used for the determination of crystal structures and the study of powders and polycrystalline materials. The other one is the rigorous dynamical theory, applicable to perfect or nearly perfect crystals and, for that reason, is the one used for the assessment of the structural properties of high technology materials. It has witnessed exciting developments since the advent of synchrotron radiation. This book provides an account of the dynamical theory of diffraction and of its applications. The first part serves as an introduction to the subject, presenting early developments, Ewald's theory of dispersion and the basic results of Laue's dynamical theory. This is followed in the second part by a detailed development of the diffraction and propagation properties of X-rays in perfect crystals, including the study of anomalous absorption, Pendellösung, grazing incidence diffraction (GID) and n-beam or multiple-beam diffraction. The third part constitutes an extension of the theory to the case of slightly and highly deformed crystals. The last part gives three applications of the theory: X-ray optics for synchrotron radiation, location of atoms at surfaces and interfaces and X-ray diffraction topography.

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2003

Dynamical Theory of X-Ray Diffraction

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X-ray Diffraction Structural Investigations of a Bicrystalline System by Section Topography under Conditions of Anomalous Borrmann Absorption

Cited by 26 publications

References 3 publications

Theoretical study of the properties of X-ray diffraction moiré fringes. I

Theoretical study of the properties of X-ray diffraction moiré fringes. I

Dynamical Theory of X-Ray Diffraction

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